Good day...need ur help with this.. By trial and error, it is obvious that x=2. But how should we do this without using trial and error? That is, by any step by step method. If any. thanks

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- October 2nd 2013, 06:48 PM #1

- October 2nd 2013, 08:28 PM #2
## Re: 3^(x-1) + 25^(3x/2) = 15628

- October 2nd 2013, 09:10 PM #3

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- October 2nd 2013, 09:24 PM #4

- October 2nd 2013, 09:54 PM #5

- October 16th 2013, 05:04 AM #6

- October 16th 2013, 05:52 AM #7

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## Re: 3^(x-1) + 25^(3x/2) = 15628

Aldrincambrera :

As Top squark mentioned above such kind of equations cannot be solved using algebraic methods...however:

transform the given equation into the form 3^x +3(125)^x =46884 then analyse the 46884 into the form 3^2+3(125)^2 and the solution x=2 is obvious.........

Have a good day.

In memory of my student Stefanos who died today ............may god bless his soul...........................

Minoas

- October 16th 2013, 05:53 AM #8

- October 16th 2013, 08:14 AM #9

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